On the sphericity of scaling limits of random planar quadrangulations

DOI10.1214/ECP.v13-1368zbMath1193.60016arXiv0712.3687MaRDI QIDQ1038878

Grégory Miermont

Publication date: 20 November 2009

Published in: Electronic Communications in Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0712.3687

zbMATH Keywords

scaling limitsrandom planar mapsGromov-Hausdorff convergencespherical topology

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Central limit and other weak theorems (60F05)

Related Items (17)

Random infinite squarings of rectangles ⋮ Geodesics in Brownian surfaces (Brownian maps) ⋮ On scaling limits of random trees and maps with a prescribed degree sequence ⋮ The Brownian map is the scaling limit of uniform random plane quadrangulations ⋮ An axiomatic characterization of the Brownian map ⋮ Large deviation local limit theorems and limits of biconditioned planar maps ⋮ What is a random surface? ⋮ On the Diameter of Random Planar Graphs ⋮ Liouville quantum gravity and KPZ ⋮ Spectral dimension of Liouville quantum gravity ⋮ Confluence of geodesic paths and separating loops in large planar quadrangulations ⋮ Compact Brownian surfaces. I: Brownian disks ⋮ The topology of scaling limits of positive genus random quadrangulations ⋮ A glimpse of the conformal structure of random planar maps ⋮ The Tutte embedding of the Poisson-Voronoi tessellation of the Brownian disk converges to \(\sqrt{8/3}\)-Liouville quantum gravity ⋮ Iterated foldings of discrete spaces and their limits: candidates for the role of Brownian map in higher dimensions ⋮ Scaling limit of random planar quadrangulations with a boundary

This page was built for publication: On the sphericity of scaling limits of random planar quadrangulations